Exp-6 potential

The exp-6 potential is given by (Eq. 1 in ^[1]):

\Phi _{12}(r)={\frac {\epsilon }{1-6/\alpha }}\left[\left({\frac {6}{\alpha }}\right)\exp \left[\alpha \left(1-{\frac {r}{\sigma }}\right)\right]-\left({\frac {\sigma }{r}}\right)^{6}\right]

where

$r:=|\mathbf {r} _{1}-\mathbf {r} _{2}|$
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi_{12}(r) } is the intermolecular pair potential between two particles or sites
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma } is the value of Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r} at which Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi_{12}(r)=0}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \epsilon } is the well depth (energy)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} is the "steepness" of the repulsive energy

Melting point

An approximate method to locate the melting point is given in ^[2]. See also ^[3].

Related reading